Question

If m⦟PSM= 22°, find m⦟RSM and m⦟SPQ

Answer 1

@Angle cough cough

Answer 2

@SkinnyMinnie20 Are we assuming that this is a parallelogram?

Answer 3

yes

Answer 4

@Angle are you still here

Answer 5

Yeah, I'm just trying to work it out; it's been a while since I've taken geometry

Answer 6

okay thank you

Answer 7

Are you given any other information?
like, is it a specific type of parallelogram? were there any other given angles before this question?

Answer 8

that's all I was given

Answer 9

do they want numerical answers?
or something like m<SPQ = m<RSM + m<PSM ?

Answer 10

I have no idea

Answer 11

do you have an answer box?

Answer 12

or is this a worksheet?

Answer 13

its a worksheet

Answer 14

I see, then perhaps saying something like m<SPQ = m<RSM + m<PSM
might work

Answer 15

I'll break my picture down for you...

Answer 16

that's what I was thinking but what about the other two angles

Answer 17

<PSM = <RQM by alternate interior angles
so <RQM = 22 degrees


and <SPQ = <QRS

then <RQM + <QRS + <RSM = 180 because it is a triangle
so 22 + <QRS + <RSM = 180
22 + <SPQ + <RSM = 180

Answer 18

im confused

Answer 19

aye, the letters are confusing
I'm sorry

it's basically the picture I labeled (written out)
+ saying that 1 + 2 + 3 = 180

Answer 20

okay, so how would i find <RSM and <SPQ?

Answer 21

(1) = 180 - (2) - (3)
we know that angle (3) = 22
so
angle (1) = 180 - 22 - (2)

Answer 22

you would be stuck with saying
<RSM = 158 - <SPQ

Answer 23

okay